Baz Mohammed Ghul Mohammed, was executed in the Eastern Province city of Khobar, the ministry said.
Mohammed was executed because he tried to smuggle a large quantity of heroin inside his intestines into the Kingdom, the official SPA news agency reported.
The Ministry said the Saudi Government is keen on combating narcotics due to their great harm to individuals and the society.
It warned that anyone who tried to smuggle narcotics would be punished according to Sharia law.